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<div class="subTitle">org.apache.commons.math3.geometry.partitioning</div>
<h2 title="Class AbstractSubHyperplane" class="title">Class AbstractSubHyperplane&lt;S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>,T extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</h2>
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<li>org.apache.commons.math3.geometry.partitioning.AbstractSubHyperplane&lt;S,T&gt;</li>
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<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>S</code> - Type of the embedding space.</dd><dd><code>T</code> - Type of the embedded sub-space.</dd></dl>
<dl>
<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;S&gt;</dd>
</dl>
<dl>
<dt>Direct Known Subclasses:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/geometry/spherical/twod/SubCircle.html" title="class in org.apache.commons.math3.geometry.spherical.twod">SubCircle</a>, <a href="../../../../../../org/apache/commons/math3/geometry/spherical/oned/SubLimitAngle.html" title="class in org.apache.commons.math3.geometry.spherical.oned">SubLimitAngle</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/twod/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.twod">SubLine</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/oned/SubOrientedPoint.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">SubOrientedPoint</a>, <a href="../../../../../../org/apache/commons/math3/geometry/euclidean/threed/SubPlane.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">SubPlane</a></dd>
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<pre>public abstract class <span class="strong">AbstractSubHyperplane&lt;S extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>,T extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;S&gt;</pre>
<div class="block">This class implements the dimension-independent parts of <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>SubHyperplane</code></a>.

 <p>sub-hyperplanes are obtained when parts of an <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning"><code>hyperplane</code></a> are chopped off by other hyperplanes that
 intersect it. The remaining part is a convex region. Such objects
 appear in <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/BSPTree.html" title="class in org.apache.commons.math3.geometry.partitioning"><code>BSP trees</code></a> as the intersection of a cut
 hyperplane with the convex region which it splits, the chopping
 hyperplanes are the cut hyperplanes closer to the tree root.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.0</dd></dl>
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<h3>Nested classes/interfaces inherited from interface&nbsp;org.apache.commons.math3.geometry.partitioning.<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="type parameter in SubHyperplane.SplitSubHyperplane">U</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></li>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier</th>
<th class="colLast" scope="col">Constructor and Description</th>
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<tr class="altColor">
<td class="colFirst"><code>protected </code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#AbstractSubHyperplane(org.apache.commons.math3.geometry.partitioning.Hyperplane,%20org.apache.commons.math3.geometry.partitioning.Region)">AbstractSubHyperplane</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyperplane,
                     <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;remainingRegion)</code>
<div class="block">Build a sub-hyperplane from an hyperplane and a region.</div>
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<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#applyTransform(org.apache.commons.math3.geometry.partitioning.Transform)">applyTransform</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning">Transform</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;transform)</code>
<div class="block">Apply a transform to the instance.</div>
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<td class="colFirst"><code>protected abstract <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#buildNew(org.apache.commons.math3.geometry.partitioning.Hyperplane,%20org.apache.commons.math3.geometry.partitioning.Region)">buildNew</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyper,
        <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;remaining)</code>
<div class="block">Build a sub-hyperplane from an hyperplane and a region.</div>
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<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#copySelf()">copySelf</a></strong>()</code>
<div class="block">Copy the instance.</div>
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<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#getHyperplane()">getHyperplane</a></strong>()</code>
<div class="block">Get the underlying hyperplane.</div>
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<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#getRemainingRegion()">getRemainingRegion</a></strong>()</code>
<div class="block">Get the remaining region of the hyperplane.</div>
</td>
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<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#getSize()">getSize</a></strong>()</code>
<div class="block">Get the size of the instance.</div>
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<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#isEmpty()">isEmpty</a></strong>()</code>
<div class="block">Check if the instance is empty.</div>
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<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">reunite</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;other)</code>
<div class="block">Compute the union of the instance and another sub-hyperplane.</div>
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<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyper)</code>
<div class="block"><strong>Deprecated.</strong>&nbsp;</div>
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<tr class="rowColor">
<td class="colFirst"><code>abstract <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">split</a></strong>(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyper)</code>
<div class="block">Split the instance in two parts by an hyperplane.</div>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h4>AbstractSubHyperplane</h4>
<pre>protected&nbsp;AbstractSubHyperplane(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyperplane,
                     <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;remainingRegion)</pre>
<div class="block">Build a sub-hyperplane from an hyperplane and a region.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>hyperplane</code> - underlying hyperplane</dd><dd><code>remainingRegion</code> - remaining region of the hyperplane</dd></dl>
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<a name="buildNew(org.apache.commons.math3.geometry.partitioning.Hyperplane, org.apache.commons.math3.geometry.partitioning.Region)">
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<h4>buildNew</h4>
<pre>protected abstract&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;buildNew(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyper,
                                  <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;remaining)</pre>
<div class="block">Build a sub-hyperplane from an hyperplane and a region.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>hyper</code> - underlying hyperplane</dd><dd><code>remaining</code> - remaining region of the hyperplane</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new sub-hyperplane</dd></dl>
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<h4>copySelf</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;copySelf()</pre>
<div class="block">Copy the instance.
 <p>The instance created is completely independent of the original
 one. A deep copy is used, none of the underlying objects are
 shared (except for the nodes attributes and immutable
 objects).</p></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#copySelf()">copySelf</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>a new sub-hyperplane, copy of the instance</dd></dl>
</li>
</ul>
<a name="getHyperplane()">
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<h4>getHyperplane</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;getHyperplane()</pre>
<div class="block">Get the underlying hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getHyperplane()">getHyperplane</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>underlying hyperplane</dd></dl>
</li>
</ul>
<a name="getRemainingRegion()">
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<h4>getRemainingRegion</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Region.html" title="interface in org.apache.commons.math3.geometry.partitioning">Region</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;getRemainingRegion()</pre>
<div class="block">Get the remaining region of the hyperplane.
 <p>The returned region is expressed in the canonical hyperplane
 frame and has the hyperplane dimension. For example a chopped
 hyperplane in the 3D euclidean is a 2D plane and the
 corresponding region is a convex 2D polygon.</p></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>remaining region of the hyperplane</dd></dl>
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<h4>getSize</h4>
<pre>public&nbsp;double&nbsp;getSize()</pre>
<div class="block">Get the size of the instance.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#getSize()">getSize</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>the size of the instance (this is a length in 1D, an area
 in 2D, a volume in 3D ...)</dd></dl>
</li>
</ul>
<a name="reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">
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<li class="blockList">
<h4>reunite</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;reunite(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;other)</pre>
<div class="block">Compute the union of the instance and another sub-hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#reunite(org.apache.commons.math3.geometry.partitioning.SubHyperplane)">reunite</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>other</code> - other sub-hyperplane to union (<em>must</em> be in the
 same hyperplane as the instance)</dd>
<dt><span class="strong">Returns:</span></dt><dd>a new sub-hyperplane, union of the instance and other</dd></dl>
</li>
</ul>
<a name="applyTransform(org.apache.commons.math3.geometry.partitioning.Transform)">
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<h4>applyTransform</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">AbstractSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;applyTransform(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Transform.html" title="interface in org.apache.commons.math3.geometry.partitioning">Transform</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>,<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">T</a>&gt;&nbsp;transform)</pre>
<div class="block">Apply a transform to the instance.
 <p>The instance must be a (D-1)-dimension sub-hyperplane with
 respect to the transform <em>not</em> a (D-2)-dimension
 sub-hyperplane the transform knows how to transform by
 itself. The transform will consist in transforming first the
 hyperplane and then the all region using the various methods
 provided by the transform.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>transform</code> - D-dimension transform to apply</dd>
<dt><span class="strong">Returns:</span></dt><dd>the transformed instance</dd></dl>
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<a name="side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">
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<h4>side</h4>
<pre><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
public&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html" title="enum in org.apache.commons.math3.geometry.partitioning">Side</a>&nbsp;side(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyper)</pre>
<div class="block"><span class="strong">Deprecated.</span>&nbsp;</div>
<div class="block">Compute the relative position of the instance with respect
 to an hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#side(org.apache.commons.math3.geometry.partitioning.Hyperplane)">side</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>hyper</code> - hyperplane to check instance against</dd>
<dt><span class="strong">Returns:</span></dt><dd>one of <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#PLUS"><code>Side.PLUS</code></a>, <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#MINUS"><code>Side.MINUS</code></a>, <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#BOTH"><code>Side.BOTH</code></a>,
 <a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Side.html#HYPER"><code>Side.HYPER</code></a></dd></dl>
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<h4>split</h4>
<pre>public abstract&nbsp;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.SplitSubHyperplane.html" title="class in org.apache.commons.math3.geometry.partitioning">SubHyperplane.SplitSubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;split(<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/Hyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">Hyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a>&gt;&nbsp;hyper)</pre>
<div class="block">Split the instance in two parts by an hyperplane.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#split(org.apache.commons.math3.geometry.partitioning.Hyperplane)">split</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>hyper</code> - splitting hyperplane</dd>
<dt><span class="strong">Returns:</span></dt><dd>an object containing both the part of the instance
 on the plus side of the hyperplane and the part of the
 instance on the minus side of the hyperplane</dd></dl>
</li>
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<h4>isEmpty</h4>
<pre>public&nbsp;boolean&nbsp;isEmpty()</pre>
<div class="block">Check if the instance is empty.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html#isEmpty()">isEmpty</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../org/apache/commons/math3/geometry/partitioning/SubHyperplane.html" title="interface in org.apache.commons.math3.geometry.partitioning">SubHyperplane</a>&lt;<a href="../../../../../../org/apache/commons/math3/geometry/partitioning/AbstractSubHyperplane.html" title="type parameter in AbstractSubHyperplane">S</a> extends <a href="../../../../../../org/apache/commons/math3/geometry/Space.html" title="interface in org.apache.commons.math3.geometry">Space</a>&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>true if the instance is empty</dd></dl>
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